9 citations · 28 across the 33 of their papers we have counts for
41 papers
Rational Points on Danielewski Surfaces over Finite fields and Polygonal Numbers
Sakshi Gupta, Anit Kuckian, Indranath Sengupta
We study the number of -rational points on Danielewski and double Danielewski surfaces over the finite field and show an interesting connection with th…
Tangent Cones of Concatenated Numerical Semigroups
Ranjana Mehta, Joydip Saha, Indranath Sengupta
We study the tangent cone at the origin and the Hilbert series for a family of numerical semigroups generated by concatenation of arithmetic sequences. We prove that all the concat…
Projective Closure of Semigroup Algebras
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
This paper investigates the projective closure of simplicial affine semigroups in , . We present a characterization of the Cohen-Macaulay property for the…
Join of affine semigroups
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
In this paper, we study the class of affine semigroup generated by integral vectors, whose components are in generalised arithmetic progression and we observe that the defining ide…
The -Number of Binomial Edge Ideals
Siddhi Balu Ambhore, Kamalesh Saha, Indranath Sengupta
The invariant -number was introduced very recently in the study of Reed-Muller-type codes. Jaramillo and Villarreal (J Combin. Theory Ser. A 177:105310, 2021) initiated…
Affine semigroups of maximal projective dimension-II
Om Prakash Bhardwaj, Indranath Sengupta
If the Krull dimension of the semigroup ring is greater than one, then affine semigroups of maximal projective dimension () are not Cohen-Macaulay, but they may be Bu…
Derivation module and its Poincaré series of the projective closure of certain affine curves
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
Our aim in this paper is to compute the Poincaré series of the derivation module of the projective closure of certain affine monomial curves.
Cohen-Macaulay Property of Binomial Edge Ideals with Girth of Graphs
Kamalesh Saha, Indranath Sengupta
Conca and Varbaro (Invent. Math. 221 (2020), no. 3) showed the equality of depth of a graded ideal and its initial ideal in a polynomial ring when the initial ideal is square-free.…
On the Associated Graded ring of Semigroup Algebras
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
In this paper, we give the necessary and sufficient conditions for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroups using Gröbner basis. We ge…
Derivation module and the Hilbert-Kunz multiplicity of the co-ordinate ring of a projective monomial curve
Om Prakash Bhardwaj, Indranath Sengupta
Let be a sequence of positive integers such that and . Let $S = \langle (0,n_p), (n_0,n_p-…
On the algebraic invariants of certain affine semigroup algebras
Om Prakash Bhardwaj, Indranath Sengupta
Let and be two linearly independent vectors in , over the field of rational numbers. For a positive integer , consider the sequence $a, a+d, \ldots,…
Cohen-Macaulay Binomial edge ideals in terms of blocks with whiskers
Kamalesh Saha, Indranath Sengupta
For a graph , Bolognini et al. have shown is strongly unmixed is Cohen-Macaulay is accessible, where denotes the binomial…
Cohen-Macaulay Weighted Oriented Edge Ideals and its Alexander Dual
Kamalesh Saha, Indranath Sengupta
The study of the edge ideal of a weighted oriented graph with underlying graph started in the context of Reed-Muller type codes. We generalize a Cohen-Macaul…
Unboundedness of the first and the last Betti numbers of Numerical Semigroups Generated by Concatenation
Ranjana Mehta, Joydip Saha, Indranath Sengupta
We show that the minimal number of generators and the Cohen-Macaulay type of a family of numerical semigroups generated by concatenation of arithmetic sequences is unbounded.
Projective Closure of Affine Monomial Curves II
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
In this paper our aim is twofold. First, we introduce the notion of star gluing of numerical semigroups and show that arithmetically Cohen-Macaulay and Gorenstein properties of the…
The -number of Monomial Ideals
Kamalesh Saha, Indranath Sengupta
We generalize some results of -number for arbitrary monomial ideals by showing that the -number of an arbitrary monomial ideal is the same as the $\mathrm{v…
Affine semigroups of maximal projective dimension
Om Prakash Bhardwaj, Kriti Goel, Indranath Sengupta
We generalize the notion of symmetric semigroups, pseudo symmetric semigroups, and row factorization matrices for pseudo Frobenius elements of numerical semigroups to the case of s…
Colon structure of associated primes of monomial ideals
Ambhore Siddhi Balu, Indranath Sengupta
We find an explicit expression of the associated primes of monomial ideals as a colon by an element , using the unique irredundant irreducible decomposition whose irreducible co…
On Row-Factorization relations of certain numerical semigroups
Om Prakash Bhardwaj, Kriti Goel, Indranath Sengupta
Let be a numerical semigroup minimally generated by an almost arithmetic sequence. We give a description of a possible row-factorization $(\RF)$ matrix for each pseudo-Frobeniu…
ASL structures of some quadrics
Joydip Saha, Indranath Sengupta
Let be a field and , denote matrices such that, the entries of are either indeterminates over or and the entries of are indeterminates over which are…
Binomial edge ideals of Clutters
Kamalesh Saha, Indranath Sengupta
In this paper, we introduce the notion of binomial edge ideals of a clutter and obtain results similar to those obtained for graphs by Rauf \& Rinaldo in \cite{raufrin}. We also an…
Numerical Semigroups with unique Apéry expansions
Sudip Pandit, Joydip Saha, Indranath Sengupta
In this paper, we carry out a fairly comprehensive study of two special classes of numerical semigroups, one generated by the sequence of partial sums of an arithmetic progression…
Closed Cohen-Macaulay completion of binomial edge ideals
Kamalesh Saha, Indranath Sengupta
Let denote the class of closed graphs with Cohen-Macaulay binomial edge ideals and denote the class of proper interval graphs. Then $\mathbf{CCM}\subs…
Projective closures of affine monomial curves
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
We study the projective closures of three important families of affine monomial curves in dimension , namely the Backelin curve, the Bresinsky curve and the Arslan curve, in ord…